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Finding the Third Proportional to 713,217 and 1,538,786

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Solution

The third proportional to 713,217 and 1,538,786 is: 3,319,974.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,217 : 1,538,786 = 1,538,786 : x
  2. Step 2: Convert to fraction form
    713,217/1,538,786 = 1,538,786/x
  3. Step 3: Cross multiply
    713,217x = 1,538,786 × 1,538,786
  4. Step 4: Simplify right side
    713,217x = 2,367,862,353,796
  5. Step 5: Solve for x
    x = 2,367,862,353,796/713,217
  6. Step 6: Final answer
    x = 3,319,974.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.